基于两参数熵的广义相位排列熵算法  

Generalized phase permutation entropy algorithm based on two-index entropy

作　　者：康欢 张小凤[1] 张光斌[1] Huan KANG;Xiaofeng ZHANG;Guangbin ZHANG(College of Physics and Information Technology,Shaanxi Normal University,Xi'an 710119,China)

机构地区：[1]陕西师范大学物理学与信息技术学院

出　　处：《中国科学：信息科学》2019年第9期1205-1216,共12页Scientia Sinica(Informationis)

基　　金：国家自然科学基金(批准号:11574191,11674208)资助项目

摘　　要：广义排列熵(PEq,δ)取恰当参数时能放大系统的微小变化,而信号的相位相比于幅度包含更多关键信息.本文将相位信息引入到广义排列熵中,提出了广义相位排列熵(PPEq,δ)算法,验证了广义相位排列熵在检测系统动态改变方面的优势,分析了参数q,δ选取对于系统动态改变的影响,探究了数据长度和噪声对于广义相位排列熵的影响.最后,将广义相位排列熵算法运用到异常心电信号检测分析中.仿真结果表明,当广义排列熵和广义相位排列熵的q,δ取值相同时,广义相位排列熵对于同一动态变化的检测效果更为显著.无论是针对logistic映射还是异常心电信号的动态变化检测,当q> 0,δ> 0时,减小q值或者增大δ值,或者同时减小q值增大δ值,都能提高广义排列熵和广义相位排列熵对于动态改变的检测效果.此外,数据长度改变对于广义排列熵和广义相位排列熵基本无影响且两者对噪声均具有良好的鲁棒性.Generalized permutation entropy(PEq,δ)with appropriate parameters can amplify minor changes in a system;however,the phase of the signal contains more critical information than the amplitude.This paper introduces the phase information into the generalized permutation entropy and proposes the generalized phase permutation entropy(PPEq,δ)algorithm.Moreover,we verify the advantages of PPEq,δin detecting the dynamic changes in the system,analyze the influence of q,δselection on the dynamic change in the system,and explore the effect of data length and noise for PPEq,δ.Finally,the PPEq,δis applied to analyze abnormal ECG signals.When the values of q,δare the same,the PPEq,δhas a more significant effect on the detection of the same dynamic change.Whether for use in a logistic map or in detecting abnormal ECG signal dynamic changes,when q>0 andδ>0,the effect of PEq,δand PPEq,δcan be improved by decreasing q value,increasingδvalue,or simultaneously changing both values.Furthermore,the change in data length has no effect for PEq,δand PPEq,δ,and both are robust to noise.

关 键 词：广义相位排列熵 动态改变检测 LOGISTIC映射 心电信号 非线性分析 

分 类 号：N941.3[自然科学总论—系统科学] TN911.7[电子电信—通信与信息系统]